Question

# You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. For the context of this problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract.

Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=47n=47 subjects. The average difference (post - pre) is ¯d=9.8d¯=9.8 with a standard deviation of the differences of sd=32.1sd=32.1.

1. What is the test statistic for this sample?

test statistic =  Round to 4 decimal places.
2. What is the p-value for this sample? Round to 4 decimal places.

p-value =
3. The p-value is...
• less than (or equal to) αα
• greater than αα

4. This test statistic leads to a decision to...
• reject the null
• accept the null
• fail to reject the null

5. As such, the final conclusion is that...
• There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
• There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
• The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.
• There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0.

Here z value probability calculate from standard normal distribution table.

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